Melt the butter in a pan large enough for the tenderloins. Add the honey. Season the tenderloins with salt and pepper to taste. Brown the tenderloins with a good sear, just like the picture. Be sure you don't burn the butter, watch it closely. Turn the tenderloins over and brown on both sides. Don't be afraid to let them get really brown, they will soften up as you bake them in the oven. This will take around 20 minutes.
Pre-heat the oven to 375 degrees. Grease an 8 X 11 baking dish. Transfer the browned tenderloins to the dish, and all the honey, butter drippings, pour over the top of the tenderloins. Bake in the oven around 30 to 40 minutes until meat is no longer pink in the center. Some may prefer it slightly rare.
Remove the tenderloins to a platter and allow to rest tented with foil for at least 5 minutes. While doing that, transfer drippings from the baking dish back to the skillet and reduce for a glaze.
To serve, slice tenderloin 1/2 to 3/4 inches thick and drizzle glaze over the tenderloins and serve.